Two objects are projected at angle theta and 90-theta. The range is equal. Fund relation b/w velocity and max h1 and h2.
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Given
Same speed of projection
Angle of projection is θ and 90
o
−θ.
Angle of projection is θ.
Time of flight T=
g
2usinθ
....(1)
where u is the speed of projection.
Angle of projection is 90
o
−θ.
Time of flight T=
g
2usin(90
o
−θ)
=
g
2ucosθ
....(2)
Thus, ratio of time of flight
T
2
T
1
=
cosθ
sinθ
Same speed of projection
Angle of projection is θ and 90
o
−θ.
Angle of projection is θ.
Time of flight T=
g
2usinθ
....(1)
where u is the speed of projection.
Angle of projection is 90
o
−θ.
Time of flight T=
g
2usin(90
o
−θ)
=
g
2ucosθ
....(2)
Thus, ratio of time of flight
T
2
T
1
=
cosθ
sinθ
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